The number 56720
56720 is a composite number with 20 divisors. Its prime factorisation is × 5 × 709. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 709, 1418, 2836, 3545, 5672, 7090 … 56720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56720: a Harshad number: divisible by its digit sum 20.
- 2
56720 is composite. Its prime factorisation is
- 3
The divisors add up to 132060; without 56720 itself that is 75340, so 56720 is abundant (75340 is more than 56720). Euler's totient φ(56720) = 22656 numbers up to 56720 share no factor with it.
- 4
The digits of 56720 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56720 = 2^{4} \times 5 \times 709 \]56720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 132060 |
| Euler totient φ(n) | 22656 |
| Square | 3217158400 |
| Cube | 182477224448000 |
| Square root | 238.159610 (= 4√3545) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.672 × |
56720 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and twenty |
| Binary (base 2) | 1101110110010000 |
| Octal (base 8) | 156620 |
| Hexadecimal (base 16) | DD90 |
| Base 3 | 2212210202 |
| As time | 56720 seconds = 15 h 45 min 20 s |
Is 56720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56720 ÷ 2 = 28360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56720 ÷ 4 = 14180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56720 ÷ 5 = 11344) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (56720 ÷ 8 = 7090) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (56720 ÷ 10 = 5672) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56720 a prime number?
No. 56720 = × 5 × 709, so it is divisible by 2.
What are the factors of 56720?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 709, 1418, 2836, 3545, 5672, 7090, 11344, 14180, 28360, 56720.
What is 56720 in binary?
1101110110010000 (hexadecimal DD90, octal 156620).
What is the square root of 56720?
About 238.1596, exactly 4√3545.
Is 56720 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 56720?
56720 is a Harshad number: divisible by its digit sum 20.